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Finding the Fourth Proportional to 1,770.69, 2,656.05 and 472.14

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Solution

The fourth proportional to 1,770.69, 2,656.05 and 472.14 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.69 : 2,656.05 = 472.14 : x
  2. Step 2: Convert to fraction form
    1,770.69/2,656.05 = 472.14/x
  3. Step 3: Cross multiply
    1,770.69x = 2,656.05 × 472.14
  4. Step 4: Simplify right side
    1,770.69x = 1,254,027.45
  5. Step 5: Solve for x
    x = 1,254,027.45/1,770.69
  6. Step 6: Final answer
    x = 708.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.